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Name __________________________________ Period _______ Lab: The Period of a Pendulum and the Acceleration of Gravity ("g") Purpose: ____________________________________________________________ _____________________________________________________________________ _____________________________________________________________________ Data Table: Construct a number of pendulums (penduli ?) of varying lengths. Start with a maximum length of 1.00 meters and gradually shorten the string length by 5.0 centimeters for each trial. Use a stopwatch to measure five complete swings of the pendulum and then calculate its period. Record your results and calculations in data table #1. Trial Number 1 2 3 4 5 6 7 8 9 10 Length (L) (meters) Period (T) (seconds) Period Squared (T2) (seconds squared) Discussion: The period of a pendulum (T) can be calculated using the equation: T = 2 L/g Squaring the equation leads to: T2 = 42L/g = (42/g)L Since "g" is a well known constant of 9.81 m/s2, the quantity "42/g" is also a constant. Calculate what that constant would be and enter its value here with appropriate units. __________________ Graph: Prepare a graph of "Period Squared versus Length of Pendulum". Note, this is not a graph of "T vs L" but of "T2 vs L" and therefore will have what form (linear, quadratic, inverse, etc.)? ______________________. The slope of this graph should equal the constant calculated above. Calculations: Find the Relative Error for the constant using the calculated value as the Accepted and the graph value as the Observed. Begin with the equation and show all units within the calculation in the space below. ER = (Over) Analysis: 1. If your Relative Error is over 5.0%, provide some reasons (at least 3) why your lab produced such a large error._______________________________ _______________________________________________________________ _______________________________________________________________ _______________________________________________________________ _______________________________________________________________ 2. If you performed an experiment in which the period of a pendulum was 6.34 seconds, what must have been its length? Please show all work and include units within any calculations. 3. You find yourself on another planet and can tell from your own weight that the gravity is different than Earth's. Trying to discover what planet it may be, you perform an experiment with a pendulum. You construct a pendulum that is 3.5 m long and find that its period is 6.10 seconds. Calculate the value of "g" for this planet. Show all work beginning with the equation and be sure to show units within the calculation. Refer to the chart below after your calculations to determine what planet you are on. 4. If a pendulum on Earth has a period of 3.25 seconds, what would be its period on the planet Pluto? Show all work including units. (Hint: Find its length first).